107112253745024 has 256 divisors, whose sum is σ = 238480111742400. Its totient is φ = 47510765568000.

The previous prime is 107112253744997. The next prime is 107112253745051. The reversal of 107112253745024 is 420547352211701.

It is a Cunningham number, because it is equal to 10349505²-1.

It is an interprime number because it is at equal distance from previous prime (107112253744997) and next prime (107112253745051).

It is a super-2 number, since 2×107112253745024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5568023534 + ... + 5568042770.

Almost surely, 2^{107112253745024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107112253745024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119240055871200).

107112253745024 is an abundant number, since it is smaller than the sum of its proper divisors (131367857997376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107112253745024 is a wasteful number, since it uses less digits than its factorization.

107112253745024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19833 (or 19821 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 107112253745024 in words is "one hundred seven trillion, one hundred twelve billion, two hundred fifty-three million, seven hundred forty-five thousand, twenty-four".